The cosmic Galois group and extended Steinmann relations for planar N $$ \mathcal{N} $$ = 4 SYM amplitudes

Abstract We describe the minimal space of polylogarithmic functions that is required to express the six-particle amplitude in planar N $$ \mathcal{N} $$ = 4 super-Yang-Mills theory through six and seven loops, in the NMHV and MHV sectors respectively. This space respects a set of extended Steinmann...

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Bibliographic Details
Main Authors: Simon Caron-Huot, Lance J. Dixon, Falko Dulat, Matt von Hippel, Andrew J. McLeod, Georgios Papathanasiou
Format: Article
Language:English
Published: SpringerOpen 2019-09-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP09(2019)061